- #1
teknodude
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Homework Statement
Solve the initial value problem
[tex] u\prime\prime+u=0.5cos (0.8t)\\ [/tex]
[tex]u(0)=0 \ u\prime(0) = 0[/tex]
Homework Equations
[tex] u(t) = [A*cos (w_nt)+ B*sin (w_nt)] + \frac{F_0}{m(w^2_n-w^2)} [/tex][tex] \left\{\begin{array}{cl}
sin(wt)\\
cos(wt)
\end{array}\right.
[/tex]
The Attempt at a Solution
http://img503.imageshack.us/img503/5746/untitledhh8.th.jpg
Here is picture of the notes for the equation if it is unclear
http://img518.imageshack.us/img518/6043/untitled2bh1.th.jpg
[tex]F_0 = 0.5[/tex]
[tex]w_n=1[/tex]
[tex]w=0.8[/tex]
The professor gave the above general equation for solving forced vibration problems.
I can get the answer, but i get an extra two terms (the ones underlined with question mark).
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